Topic I. Geometry of numbers (Dr. Lorenzini).
Thursdays, 2-3 pm in room 410 Boyd.
This seminar will only assume some familiarity with the basic properties of he integers and basic linear algebra. In particular, Math 4000 is not a prerequisite. We will start by discussing the Frobenius problem for n integers; the case n=2 is well known and is often called the postage stamp problem: Given a large (infinite) supply of 5-cent stamps and 8-cent stamps (more generally, a and b), show that you can pay all possible postages starting at somevalue N. How do you determine N? (It should not be obvious that such an integer in fact exists!)

This IVRG resulted in a preprint, "On a Generalization of the Frobenius Number".

Topic II. Symmetries of molecules, crystals, and space-time (Drs. Burgoyne and Varley).
Mondays, 3:30-4:30, in room 221, Boyd.
The group will explore symmetry analysis in physics, chemistry, and math, and is designed for sophomore to senior level students majoring in any branch of science, including engineering and mathematics education. Click here to learn more about this group.

There are also some research groups aimed at beginning graduate students in which appropriately prepared undergraduates may be interested. Please visit the Advanced VIGRE Research Groups page for more information on these.